I think some people should internalize that often Principles Don't Justify Drama (Among Humans). Drama destroys future discussion and activates primal emotions that will override rational deliberation. If you want to bring people around to your viewpoint, make them like you.
If everyone died on their hill every time someone violated what they thought was an important principle, society would not function. Cooperate with people you disagree with and when you violate someone else's principle, be thankful that they are going to cooperate with you.
The best historical example of this is probably religious toleration. Thank God for those who tolerated infidels.
Of course the art is in knowing which hills to actually die on and who you should really shun as your enemy. To get it right, you need to fully appreciate the costs.
If you make people dislike you then you will push them away from your viewpoint whether or not your viewpoint is true.
The people you are talking with, maybe. You also might have an audience. Which archetypal character do people like more when they're viewing an interaction from a distance, the abrasive prophet or the unctuous people-pleaser?
I definitely wouldn't call it "top rationality advice" because there are lots of other reasons to want to be liked and not want to be disliked, but I do expect the effect you describe to be real.
4J Bostock
I think what you describe is mostly a high-status (dominance or prestige) phenomenon rather than a high-likeability phenomenon. But I will admit I'm rather going off instinct and intuition here.